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Finding the Third Proportional to 421,924 and 563,616

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Solution

The third proportional to 421,924 and 563,616 is: 752,891.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,924 : 563,616 = 563,616 : x
  2. Step 2: Convert to fraction form
    421,924/563,616 = 563,616/x
  3. Step 3: Cross multiply
    421,924x = 563,616 × 563,616
  4. Step 4: Simplify right side
    421,924x = 317,662,995,456
  5. Step 5: Solve for x
    x = 317,662,995,456/421,924
  6. Step 6: Final answer
    x = 752,891.51

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.